Question

Resolva a seguinte equação literal:

$x^{2} - 4mx - 5m^{2} = 0$

Answer 1

Olá!!

$\\ x^2 - 4mx - 5m^2 = 0 \\\\ x^2 + mx - 5mx - 5m^2 = 0 \\\\ x(x + m) - 5m(x + m) = 0 \\\\ (x + m)[x - 5m] = 0 \\\\ \boxed{x = - m} \\ \boxed{x = 5m}$